Spacetime diagrams. Assumes c=1.

Version 0.4
To do:
(i) Better/faster wavy light signal.
(ii) Improve interval plotter to better handle purely timelike (vertical) intervals.
(iii) Construct Lorentzian inner product to simplify point definitions (so I can use vectors)
(iv) Express Lorentz transform in matrix form as well?

Velocity of S' relative to S.

Rapidity

Lorentz transformation – space, time, longitudinal velocity.

Invariant interval.

Worldline plotter – (a,b) = point through which wordline passes; B = velocity.

Interval plotter. Not currently good at vertical (b=B) intervals.

Light signal plotter – a,b = initial x,t; l = length of signal. Negative l is left-moving.

Wavy light signal plotter [write 0=K]

S's coordinate axes in S'

S''s coordinate axes in S

Invariant hyberbolae through origin.

Invariant hyberbolae. (Twitchy; must have H on RHS.)

Light signals. (Happen to be from event (a,b) specified in S at the moment.)

Event (a,b) in S and its image in S' [or vice-versa]; invariant hyberbola through it. Worldline through (a,b) with velocity V1. Events simultaneous with (a,b) in S/S'.

(a,b) in S and its image in S'...

(a,b) in S' and its image in S...

Event (p,q) in S and its image in S' [or vice-versa]. Worldline through (a,b) with velocity V2.

(p,q) in S and its image in S' ...

(p,q) in S' and its image in S ...

Interval connecting event (a,b) to (p,q) specified in S and its image in S'....

Interval connecting event (a,b) to (p,q) specified in S' and its image in S....

Length contraction. Rod at rest in S'. Worldines of ends of rod. Length of rod in S is separation between worldlines (ends of rod) at same moment of time in S. Length is greatest in rest frame of rod (S').

Time dilation. Clock at rest in S'. Time between ticks of clock is shortest in rest frame of clock (S').

Author: David A. Craig <http://web.lemoyne.edu/~craigda/>

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